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Finding the Fourth Proportional to 20,698.48, 31,049.74 and 7,547.76

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Solution

The fourth proportional to 20,698.48, 31,049.74 and 7,547.76 is: 11,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698.48 : 31,049.74 = 7,547.76 : x
  2. Step 2: Convert to fraction form
    20,698.48/31,049.74 = 7,547.76/x
  3. Step 3: Cross multiply
    20,698.48x = 31,049.74 × 7,547.76
  4. Step 4: Simplify right side
    20,698.48x = 234,355,985.58
  5. Step 5: Solve for x
    x = 234,355,985.58/20,698.48
  6. Step 6: Final answer
    x = 11,322.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.